The specific conductance at `25^(@)C` of a saturated solution of `SrSO_(4)` is `1.482 xx 10^(-4) ohm^(-1) cm^(-1)` while that of water used is `1.5 xx 10^(-6)` mho `cm^(-1)`. Determine at `25^(@)C` the solubiltiy in g per litre of `SrSO_(4)` in water. molar ionic conductance of `Sr^(2+)` and `SO_(4)^(2-)` ions at infinite are `54.46` and `79.8 ohm^(-1) cm^(2) "mole"^(-1)` respectively. `[Sr = 87.6 S = 32, O =16]`

Answer

`0.1934 g//L`

Explanation

`K_("sol")=1.482 xx 10^(-4)`
`K_(H_(2)O)=1.5 xx 10^(-6)`
`K_("Net/Sol")=1.482 xx 10^(-4) -0.015 xx 10^(-4)`
`=1.467 xx 10^(-4)`
`lamda^(infty)=lamda_(Sr^(2+))^(infty)=59.46 +79.8 =139.26`
`lamda^(infty)=(K xx1000)/(5)`
`S=0.00105 mol/L`
Solubility `= 0.00105 xx 183.6 g//L`
`0.19349 L`.